# Kinetic Energy Formula | Problems (With Solutions)

Kinetic energy (KE) is half times the product of mass (m), and the square of velocity (v). Using the formula of kinetic energy: KE = ½ × m v2, the value of kinetic energy of an object can be calculated.

Let’s solve some problems based on this formula, so you’ll get a clear idea.

## Kinetic Energy Practice Problems

Problem 1: A ball of mass 3 kg is moving with the velocity of 6 m/s. Calculate the kinetic energy of a ball.

Solution:

Given data:
Mass of a ball, m = 3 kg
Velocity of a ball, v = 6 m/s
Kinetic energy of a ball, KE = ?

Using the formula of kinetic energy,
KE = ½ × m v2
KE = ½ × 3 × (6)2
KE = ½ × 3 × 36
KE = 54 J

Therefore, the kinetic energy of a ball is 54 J.

Problem 2: What is the kinetic energy of a 6 kg bicycle running with the velocity of 12 m/s?

Solution:
Given data:
Mass of a bicycle, m = 6 kg
Velocity of a bicycle, v = 12 m/s
Kinetic energy of a bicycle, KE = ?

Using the formula of kinetic energy,
KE = ½ × m v2
KE = ½ × 6 × (12)2
KE = 3 × 144
KE = 432 J

Therefore, the kinetic energy of a bicycle is 432 J.

Problem 3: Calculate the kinetic energy of a 800 kg car moving with the velocity of 3 m/s.

Solution:

Given data:
Kinetic energy of a car, KE = ?
Mass of a car, m = 800 kg
Velocity of a car, v = 3 m/s

Using the formula of kinetic energy,
KE = ½ × m v2
KE = ½ × 800 × (3)2
KE = 400 × 9
KE = 3600 J

Therefore, the kinetic energy of a car is 3600 J.

Problem 4: A 400 kg rail wagon has a velocity of 7 m/s. What is the kinetic energy of a rail wagon?

Solution:

Given data:
Mass of a rail wagon, m = 400 kg
Velocity of a rail wagon, v = 7 m/s
Kinetic energy of a rail wagon, KE = ?

Using the formula of kinetic energy,
KE = ½ × m v2
KE = ½ × 400 × (7)2
KE = 200 × 49
KE = 9800 J

Therefore, the kinetic energy of a rail wagon is 9800 J.

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